sqrt{1000000.000001} = ? | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) We need to find the square root of $1000000.000001$.Let $x = 1000000$ and $\Delta x = 0.000001$.We can use the binomial approximation $\sqrt{x + \

Vedclass · Accepted Answer

$1000$

Vedclass · Answer

(A) We need to find the square root of $1000000.000001$.Let $x = 1000000$ and $\Delta x = 0.000001$.We can use the binomial approximation $\sqrt{x + \Delta x} \approx \sqrt{x} + \frac{\Delta x}{2\sqrt{x}}$.Here,$\sqrt{x} = \sqrt{1000000} = 1000$.So,$\sqrt{1000000.000001} \approx 1000 + \frac{0.000001}{2 	imes 1000}$.$\sqrt{1000000.000001} \approx 1000 + \frac{0.000001}{2000} = 1000 + 0.0000000005 = 1000.0000005$.Since $1000.0000005$ is extremely close to $1000$,the most appropriate choice among the given options is $1000$.

$\sqrt{1000000.000001} = ?$

Similar Questions

If $\sqrt{15625} = 125$,then the value of $\sqrt{15625} + \sqrt{156.25} + \sqrt{1.5625}$ is

Given that $\sqrt{20} = 4.472$,find the square root of $2 \frac{2}{9}$ up to two places of decimals.

Find the smallest number by which $216$ should be divided to make the result a perfect square.

$\frac{250}{\sqrt{?}}=10$

$\sqrt{\frac{0.256 \times 0.081 \times 4.356}{1.5625 \times 0.0121 \times 129.6 \times 64}} = ?$

Vedclass Test Series

Exam Paper Generator

Online Exam Module